Atkin-Lehner |
3+ 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
106575i |
Isogeny class |
Conductor |
106575 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1612800 |
Modular degree for the optimal curve |
Δ |
-84650395964370075 = -1 · 310 · 52 · 711 · 29 |
Discriminant |
Eigenvalues |
-2 3+ 5+ 7- 2 -4 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-90568,-17462922] |
[a1,a2,a3,a4,a6] |
j |
-27933450833920/28780659747 |
j-invariant |
L |
0.52862023250273 |
L(r)(E,1)/r! |
Ω |
0.13215508870242 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106575cw2 15225v1 |
Quadratic twists by: 5 -7 |